The perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.
What is the perimeter of a rectangle?
The measure of the boundary of the sides of a rectangles called its perimeter. The perimeter of a rectangle is twice the sum its length and width.
[tex]P=2(l+w)[/tex]
Here, (l) is the length of the rectangle and (w) is the width of the rectangle.
The land has an area of 192 m2 and the length is 4m longer than the width. Let suppose the length is l. Thus,
[tex]l=4+w[/tex]
Now the area of rectangle is the product of length and width. Thus,
[tex]A=l\times w\\192=(4+w)\times w\\192=4w+w^2\\w^2+4w-192=0\\w^2+16w-12w-192=0\\w(w+16)-12(w+16)=0\\(w+16)(w-12)=0\\w=-16,12[/tex]
Taking positive side, w=12. The width of the rectangle is 12 m. The length of the rectangle is 4 m longer than the width. Thus, the length of it si 16 m (12+4). Its, perimeter is,
[tex]P=2(16+12)\\P=56\rm\;m[/tex]
Thus, the perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.
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HELP ASAP PLEASE!!!!!!
Answer:
y = x/2
Step-by-step explanation:
y = -x has a negative slope so cross this one out.
y = 2x has a steeper slope that would be above the black line so cross this one out
y = 0.001x has a slope that acends very slowly so cross this one out.
y = x/2 is the best match.
Some terminology:
⇒what is the slope
⇒ is the steepness of the line
⇒calculated by dividing the rise over the run
⇒ rise is the change in the y-direction
⇒ run is the change in the x-direction
⇒look at the diagram I attached
⇒ how to find the slope in a linear equation
⇒look to the coefficient of the 'x' variable
⇒ that is the slope
Ex. For the line y = x, the slope is 1
⇒A line with a positive slope rises from left to right while a line with a negative slope falls from left to right.
Ex. y=x has a positive slope and thus is rising
We want to find the equation that could represent the blue line
⇒ let's look into each equation and see whether they work or not
First case: [tex]y = -x[/tex]
⇒The equation given has the line falling, when the graph in the
equation is rising
⇒ not the answer
Second case: [tex]y=2x[/tex]
⇒ the equation given has the line that has a bigger slope than the
the equation shown, which has a smaller slope than y = x
⇒ not the answer
Third case: [tex]y=\frac{1}{2}x[/tex]
⇒ the equation given fits the requirement of having a rising slope that
is smaller than y = x
⇒ is a possible answer
Fourth case: [tex]y = 0.001x[/tex]
⇒ the equation given has a slope that is almost horizontal when the
line shown in the graph doesn't
⇒ not the answer
Thus after examing all the choices:
⇒ Answer: [tex]y=\frac{1}{2}x[/tex]
I need help with math please!!!!
77-99+33 divided by 6
Answer:
try with
[tex]77 - 99 + 33 \div 6[/tex]
to calculate so you can find the answer thanks me later
Step-by-step explanation:
carry on learning6. A right triangle includes one angle that
measures 30°, What is the measure of
the third angle?
A 30°
C 60°
B 90°
D 130°
Answer:
C, 60 degrees
Step-by-step explanation:
Right Triangle, with a 30 degree angle:
Given degrees:
90 (Right Triangle)
30
90+30 = 120
180-120 = 60
180 Degrees total in a triangle, you simply subtract the measure you have to fidn the third one.
Answer:
The measure of the third angle is 60°.
Step-by-step explanation:
We are given a right triangle that has a 90 degree and two other angles that are unknown.
Since one known angle is 90° and another angle given is 30° then the third angle must be 60°. All triangles must add up to 180°.
180° - 90° - 30° = 60°.
Here is an image of the demonstration/explaining types of triangles.
Which formula below is used to find the volume of a shape?
A. length ÷ width ÷ height
B. length − width − height
C. length + width + height
D. length × width × height
Answer:
D. length × width × height
Step-by-step explanation:
That is how you calculate the volume of a shape.
solve for y=3x-7
please please please please please please
Answer:
Answer and Explanation: The x-intercept of y = 3x - 7 is at x = 7/3, and the y-intercept of y = 3x - 7 is at y = -7.
PLEASE HELP!! URGENT If a fair coin is tossed 4 times, what is the probability, to the nearest thousandth, of getting exactly 3 tails?
Using the binomial distribution, it is found that there is a 0.25 = 25% probability of getting exactly 3 tails.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
A fair coin is equally as likely to result in heards or in tails, hence p = 0.5.The coin is tossed 4 times, hence n = 4.The probability of getting 3 tails is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]
0.25 = 25% probability of getting exactly 3 tails.
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HELP
You deposit $600 in a savings account. The account earns 10% simple interest per year.
a. What is the interest earned after 10 years?
The interest earned is $ after 10 years.
b. What is the balance after 10 years?
The balance is $
after 10 years.
HERE ILL ADD A PHOTO IF IT DOSNT MAKE SENSE
Answer:
a = 600
b = 1200
Step-by-step explanation:
a =,
600 = 100%
60 = 10%
with simple interest you add the original ten percent each time so,
600+60+60+60+60+60 etc....
or
you could do 600 x 1.1¹⁰
they both work the same
b = 600 + (ans of a)
determine the quadtratic that has the following square root (5/3, 7/3)
Answer:
9x^2 - 36x + 35.
Step-by-step explanation:
One would be (x - 5/3)(x - 7/3) <------ in factor form.
Getting rid of the fractions by multiplying each term by 3:
= (3x - 5)(3x - 7)
Converting to standard form
= 3x*3x -7*3x - 5*3x + 35
= 9x^2 - 36x + 35.
You leave your house and drive 7 miles north, then turn left and drive 24 miles west. How far are you from your house?
Question 2 of 25
What value of cmakes the polynomial below a perfect square?
x + 10x+ c
CE
O A. 100
O B. 20
O C. 5
O D. 25
Answer:
25
Step-by-step explanation:
x^2 + 10x + 25 = (x+5)^2
868×10^5 this is acly 08
Answer:
this is easy the answer is 10 power of 5
Step-by-step explanation:
Answer:
86,800,000
________________________________________________________
SolveRemember the order of operations,
parenthesesexponentsmultiplicationdivisionadditionsubtractionGo from top to bottom as most to least important. Start with exponents, the tiny floating numbers. 10 to the power of 5 is the same as 10 times itself 5 times, or increasing the zeros 5 times.
[tex]10^5 = 100,000[/tex]
Next, multiply by 868.
[tex]100,000 * 868 = 86,800,000[/tex]
________________________________________________________
QuestionsAsk in comments.
According to the line of best fit, what is the minimum amount, to the nearest dollar, melinda will earn for each day of work, even if she serves no customers? $18 $26 $36 $40
The minimum amount to the nearest dollar according to the line of best fit from the graph is $26 because as y = $26, x = 0.
What is the line of best fit?The line of best fit is a line that runs across a scatter plot of data points and best reflects the connection between them.
Let's make an assumption from the image below that;
x = the total amount($) of her customers’ bills and;y = her total daily wages.We know that x = 0 at the y-intercept;
Thus, the minimum amount to the nearest dollar according to the line of best fit from the graph is $26 because as y = $26, x = 0.
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Answer:
B
Step-by-step explanation:
2023
Find the equation of the line that goes through the points (0, 6) and (12, 2).
y = 12x + 2
y = -1/3 x + 2
y = -1/3 x + 6
y = -3x + 6
Answer:
B.
Step-by-step explanation:
70 points!!
A. Transform F using the rule (x, y) → (-x, y) (1 pt.)
B. Describe the transformation precisely.
C. Does the transformation result in a a congruent figure?
Answer:
C
C'
1
1. see attached
2. the figure is reflected in the y-axis
Step-by-step explanation:
1.
The given transformation moves each point horizontally to the same
distance on the other side of the y-axis. This is shown in the attachment.
2.
The given rule ...
(x, y) → (-x, y)
is the most precise description of the transformation. In English, it can be
described as a reflection in the y-axis
Step-by-step explanation:
Correct me if I'm wrong
calculate the arc length. please help!
Answer:
L= 12.28cm
Step-by-step explanation:
L= 1/4 (2πr)
L= 90/360 * 2πr
L= 90/360 * 6.14* 8cm
L= 12.28cm
Hope it helps
. What is the circumference of a 12-inch diameter pizza? Leave the answer in terms of π.
how do you round 81.59 to the nearest whole number?
Answer:
The number (81.59) will round to 82.
Step-by-step explanation:
First, let us understand what the question means by "whole numbers".
What are whole numbers?Whole numbers are such integers that are positive. (Except 0, which is a non-positive and non-negative integer).
Whole numbers: 0, 1, 2, 3, 4, 5, 6....
If the number before the decimal is smaller than 50, then the number will round down. If the number before the decimal is greater than or equal to 50, then the number will round up.
We can see that 81.59 is between two integers (81 and 82). Therefore, 81.59 can either round down to 81 or round up to 82.
Since the number after the decimal (81.59) is greater than 50, the number rounds up to 82. Therefore, the number (81.59) will round to 82.
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Help me pleaseeee. I keep trying but I keep getting it wrong.
Answer :- I think 0 is the answer.
Help please i need help please
Answer:
Acute
Step-by-step explanation:
The angle is 5 degrees.
Acute angles are angles between 0-90
Right angles are angles measuring 90 degrees
Obtuse angles are angles between 90-180
Therefore this angle is Acute
Please Help !! What is the volume of a cylinder with base radius 2 and height 9?
Answer:
The cylinders volume is 113.04 cubic inches
Step-by-step explanation:
The volume of a cylinder can be represented by the formula : V = π*r^2*h
So, now that we have the formula, we can simply plug in the values, and we have the volume of the cylinder.
V = π * 2^2 * 9
V = π * 4 * 9
It says to use 3.14 as π.
V = 3.14 * 4 * 9
V = 113.04
The cylinders volume is 113.04 cubic inches
This week, Hadiza read 15 pages each day from Monday through
Friday, and she read a total of 58 pages over the weekend. Complete
the equation to find how many pages Hadiza read this week.
Show your work below.
Answer: n= 15+58 = 73
Step-by-step explanation: Add pages for the week and weekend
Answer:
Step-by-step explanation:
HadizaReadingWeekly= 15 * Weekdays + 58 for Weekend
HRW=15*WD + 58
H =15*D +58
where H = HadizaReadingWeekly
D = days of the week (5)
then
H = 15*5 +58
H = 75 + 58
H = 133
Hadiza read 133 pages this week
How can 5/16be written as a decimal
Answer:
The answer is 0.3125.
Step-by-step explanation:
Step 1. Do 5/16
Step 2. Get an answer of 0.3125
I hope that this helps! :)
if the compound ratio of 5:8 and 3:7 is 45:x. find x
Given:
5:8 and 3:7 = 45:X
Explanation:
15:56 = 45:x
15x. = 2520
X=2520/15
x= 168
Conclusion:
Thus the value of x is found to be 168.
5:8 and 3:7=45:x
15:56 = 45:x
Product of means. = product of extremes
15x. = 2520
X=2520/15
x= 168
Can yall help me with this? Thanks!
Answer:
3π
Step-by-step explanation:
The arc length is just a fraction of the circumference of the circle which we know is represented by the equation L=2πr.
The radius is given ad 6. So the circumference is:
2*π*6=12π
Now, since the angle of the arc is 90°, this is 1/4 of the circle.
This means that the arc length of this section will be 1/4th of the total circumference which is:
12π/4=3π
(x-4)(x+3)(x-5)
I am confused
ANSWER:
x³ - 6x² -7x + 60
________________________
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If a canoe travels 6 miles per hour downstream, and 2 miles per hour p stream, how many miles per hour will it go in still water?
Answer:
4 miles per hour
Step-by-step explanation:
The given relations allow us to write two equations.
__
The downstream speed is the sum of the canoe speed and the stream speed:
6 = c + s
The upstream speed is the difference of the canoe speed and the stream speed:
2 = c - s
Adding these two equations, we get ...
8 = 2c
4 = c . . . . . divide by 2
The canoe speed in still water is 4 miles per hour.
Answer:
4 Miles an hour
Step-by-step explanation:
Carl is having a party.
Each cake serves 4 people.
Does this situation represent a proportional relationship?
Answer:
Yes
Step-by-step explanation:
Solve for x.
x=
x+19 7x+9
Hey there!
x + 19 + 7x + 9 = 180°
1x + 19 + 7x + 9 = 180°
8x + 28 = 180°
SUBTRACT 28 to BOTH SIDES
8x + 28 - 28 = 180° - 28
SIMPLIFY IT!
8x = 180 - 28
8x = 152
DIVIDE 8 to BOTH SIDES
8x/8 = 152/8
SIMPLIFY IT!
x = 152/8
x = 19
Therefore, your answer should be:
x = 19
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Would 2+6x^2-2x be monomial, binomial or trinomial?
Answer:
Trinomial
Step-by-step explanation:
Because it has 3 terms.
Find the distance between the two points. |(1,4) ✓ [?] (-2,-3) Enter the number that goes beneath the radical symbol.
Answer: √58
Step-by-step explanation:
[tex]\begin{aligned}&\left(x_{1}, y_{1}\right)=(-2,-3) \\&\left(x_{2}, y_{2}\right)=(1,4) \\&\text {The distance between two points is given by,} \\&d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \\&d=\sqrt{(4+3)^{2}+(1+2)^{2}} \\&d=\sqrt{7^{2}+3^{2}} \\&d=\sqrt{49+9} \\&\bold{d=\sqrt{58}}\end{aligned}[/tex]
Therefore, distance between the two points is √58 and the number that goes under the radical symbol is 58